Elastic diffusion vibrations of an isotropic Kirchhoff-Love plate under an unsteady distributed transverse load

We investigated an unsteady elastic diffusion vibration of a simply supported rectangular isotropic Kirchhoff-Love plate. The plate is under the action distributed transverse load. A model that describes coupled processes in multicomponent continuum used for mathematical problem formulation. taking into account fluxes relaxation. equations with were obtained from using d'Alembert variational principle. initial-boundary value freely bending formulated on basis equations. perturbations over surface. solution sought integral form. surface Green's functions are kernels representations. To find functions, we Laplace transform time and expansion double trigonometric Fourier series spatial coordinates. image domain represented form rational depend parameter. transition to original done analytically through residues tables operational calculus. function analytical expressions obtained. As calculation example, considered elastodiffusive suddenly applied moments By three-component continuum, numerical study interactions between mechanical fieldsis influence relaxation effects kinetics mass transfer investigated. presented form, as well graphs displacement fields concentration increments At end publication, main conclusions given about coupling effect stress-strain state